Least Common Multiple of 82/26, 134/43, 614/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/26, 134/43, 614/922 quickly i.e. 1686658 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/26, 134/43, 614/922 is 1686658.

LCM(82/26, 134/43, 614/922) = 1686658

LCM of 82/26, 134/43, 614/922

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 82/26,134/43,614/922

Given numbers are 82/26,134/43,614/922

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 82,134,614

Least Common Multiple of Numerators i.e. LCM of 82,134,614 is 1686658.

GCF of Denominators means GCF of 26,43,922 as per the given fractions.

GCF of 26,43,922 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,134,614

LCM of Fractions 82/26,134/43,614/922 is 1686658

2 82, 134, 614
41, 67, 307

∴ So the LCM of the given numbers is 2 x 41 x 67 x 307 = 1686658

Least Common Multiple of 82,134,614 with GCF Formula

Least Common Multiple of 82,134,614 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 82,134,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,134,614) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(82,134,614) x common factors =2 x 2 = 4

LCM(82,134,614) = ( 82 × 134 × 614 ) / 4

LCM(82,134,614) = 6746632 / 4

LCM(82,134,614) = 1686658


Lets's calculate GCF of 26,43,922

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1686658/1

Therefore the LCM of Fractions 82/26,134/43,614/922 is 1686658

Greatest Common Factor of 26,43,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,43,922 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 26,43,922 . The biggest common factor number is the GCF number.
So the greatest common factor 26,43,922 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 82/26, 134/43, 614/922

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 82/26, 134/43, 614/922?

Answer: LCM of Numerators as per given numbers 82/26, 134/43, 614/922 is

LCM of Numerators i.e. for 82,134,614 is 1686658

GCF of denominators i.e. for 26,43,922 is 1.

Thus, LCM of Fractions is 1686658.Finally, LCM of Fractions for 82/26, 134/43, 614/922 is 1686658.